History of Golden ratio

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when	who	what
2026-08-17 11:22	bmatschke	the conjugate column names the number rather than stating an equation, and the formula drops a sentence that repeats it	current reviewed
2026-08-16 16:56	bmatschke	phi_inv held the conjugate root: its sign was wrong, and so were the two formulas that said phi^-1 is a root of x^2-x-1. The value is kept as phi_conj, which is what it is.
2026-08-15 11:02	bmatschke	how well the digits are known: proven (verified here against (1+sqrt(5))/2 in ball arithmetic)
2026-08-09 09:25	label hoist	moved the parameter labels onto the parameter they describe
2026-08-09 09:11	flattening	entries rewritten as records with named parameters
2026-08-09 08:34	data-repository import	the current state of the data repository
2021-03-18 17:20	bmatschke	from the data repository, d2a214fd
2021-03-17 20:28	bmatschke	from the data repository, 491ea040
2021-03-17 20:22	bmatschke	from the data repository, ac909da9

What changed between 2026-08-16 16:56 and 2026-08-17 11:22

from line 9 (5 lines) @@ -9,5 +9,5 @@

       phi: $\varphi$       phi_inv: $\varphi^{-1}$-      phi_conj: $\hat{\varphi} = 1-\varphi$+      phi_conj: $\hat{\varphi}$ Comments:   comment-golden-ratio: $\varphi$ equals the ratio $a/b$  of those positive real numbers

from line 17 (5 lines, 1 fewer than before) @@ -17,6 +17,5 @@

     and its conjugate $\hat{\varphi} = 1-\varphi$.   formula-inverse: $\varphi^{-1} = \varphi - 1$.-  formula-conjugate: $\hat{\varphi} = -\varphi^{-1} = 1-\varphi$. Note $\varphi^{-1}$-    is positive and $\hat{\varphi}$ is negative; they differ only in sign.+  formula-conjugate: $\hat{\varphi} = -\varphi^{-1} = 1-\varphi$. Programs:   program-sage: